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Liula [17]
3 years ago
5

1) f(x) = 3x2+ 5x -2

Mathematics
1 answer:
Marina CMI [18]3 years ago
3 0
Here you go:

a) f(x)= (3x-1)(x+2)
This is factoring. It helps you find the zeros if you set this equal to zero. You can clearly identify what the zeros are.

b) (3x-1)(x+2)=0
x=1/3, x=-2

Plug those back into the equation to see if they work. In this case they do so those are your answers.
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The overhead reach distances of adult females are normally distributed with a mean of 205 cm205 cm and a standard deviation of 8
bekas [8.4K]
A) the probability is 0.123 or 12.3%.
B) the probability is 0.8589 or 85.89%.
C) the normal distribution can be used even though the sample is small because the population the sample is taken from is normally distributed.

Explanation
A) We first find the z-score that corresponds with this value.
z=\frac{X-\mu}{\sigma}
\\
\\=\frac{215-205}{8.6}= 1.1628

Using a z-table (http://www.z-table.com) we find 1.16; this corresponds to a probability of 0.8770.  However, This is the probability that a number will be lower than this; since we want the probability that the value is higher, we subtract from 1:

1-0.8770 = 0.123.

B) To find the probability of a sample mean, we use the formula
z=\frac{X-\mu}{\frac{\sigma}{\sqrt{n}}}
\\
\\=\frac{202.8-205}{\frac{8.6}{\sqrt{15}}}=-0.9908

Looking in our z-table we see that this corresponds with 0.1611.  Again, however, this is the area left of this value, which is the probability below; we want the probability above, so we subtract from 1:

1-0.1611 = 0.8589
5 0
3 years ago
Solve algebraically<br><br> 8x + 10y = -4<br><br> -4x = 2 + 5y
Rufina [12.5K]

The answer to the first one is:

x=-5/4y+-1/2. Why? 

 In the equation 8x+10y=-4, you subtract 10y form each side which leaves you with 8x=-10y-4. Right? Then you divide each side by 8 which gives you the answer

The answer to the second one is the same answer to the first problem. Why? Because you can already divide each side which gives you x=-5/4y+-1/2.

Hope this helps :^) 

8 0
4 years ago
Y=x-2<br> a. (3,1)<br> b. (1,3)
Troyanec [42]
A. (3,1) because if you put 3 as x, 3-2=1,which then equals 1 as y
5 0
3 years ago
Which statement is true about function f? please answer urgently
Mama L [17]

Answer: C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
IS 250% of 44 over 100
Anna007 [38]

Answer:

Yes

Step-by-step explanation:

44 is 100%

100% + 100% + 50% = 250%

44 + 44 + 22 = More than 100

5 0
2 years ago
Read 2 more answers
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